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Finding the Fourth Proportional to 11,827.26, 17,737.25 and 4,034.25

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Solution

The fourth proportional to 11,827.26, 17,737.25 and 4,034.25 is: 6,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.26 : 17,737.25 = 4,034.25 : x
  2. Step 2: Convert to fraction form
    11,827.26/17,737.25 = 4,034.25/x
  3. Step 3: Cross multiply
    11,827.26x = 17,737.25 × 4,034.25
  4. Step 4: Simplify right side
    11,827.26x = 71,556,480.64
  5. Step 5: Solve for x
    x = 71,556,480.64/11,827.26
  6. Step 6: Final answer
    x = 6,050.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.